Question : Ajeet works 4 times as fast as Sohan. If Sohan can complete a task in 20 days working independently, the number of days in which Ajeet and Sohan can together finish the work is:
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: 5
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Correct Answer: 4
Solution :
Ajeet works 4 times faster than Sohan.
Sohan can complete the task independently in 20 days.
Work done by Sohan in 1 day = $\frac{1}{20}$
Therefore, work done by Ajeet in 1 day = $\frac{4}{20} = \frac{1}{5}$
Work done by both in 1 day $=\frac{1}{5} + \frac{1}{20} = \frac{1}{4}$
Therefore, the time taken to complete the task is 4 days if both work together.
Hence, the correct answer is 4 days.
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